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Finding the Fourth Proportional to 210.28, 289.54 and 166.20

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Solution

The fourth proportional to 210.28, 289.54 and 166.20 is: 228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.28 : 289.54 = 166.20 : x
  2. Step 2: Convert to fraction form
    210.28/289.54 = 166.20/x
  3. Step 3: Cross multiply
    210.28x = 289.54 × 166.20
  4. Step 4: Simplify right side
    210.28x = 48,121.55
  5. Step 5: Solve for x
    x = 48,121.55/210.28
  6. Step 6: Final answer
    x = 228.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.